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Finding the Fourth Proportional to 267,861.72, 401,792.61 and 208,741.68

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Solution

The fourth proportional to 267,861.72, 401,792.61 and 208,741.68 is: 313,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,861.72 : 401,792.61 = 208,741.68 : x
  2. Step 2: Convert to fraction form
    267,861.72/401,792.61 = 208,741.68/x
  3. Step 3: Cross multiply
    267,861.72x = 401,792.61 × 208,741.68
  4. Step 4: Simplify right side
    267,861.72x = 83,870,864,422.98
  5. Step 5: Solve for x
    x = 83,870,864,422.98/267,861.72
  6. Step 6: Final answer
    x = 313,112.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.